8x-17=-4(x+3)-7

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Solution for 8x-17=-4(x+3)-7 equation:


Simplifying
8x + -17 = -4(x + 3) + -7

Reorder the terms:
-17 + 8x = -4(x + 3) + -7

Reorder the terms:
-17 + 8x = -4(3 + x) + -7
-17 + 8x = (3 * -4 + x * -4) + -7
-17 + 8x = (-12 + -4x) + -7

Reorder the terms:
-17 + 8x = -12 + -7 + -4x

Combine like terms: -12 + -7 = -19
-17 + 8x = -19 + -4x

Solving
-17 + 8x = -19 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-17 + 8x + 4x = -19 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-17 + 12x = -19 + -4x + 4x

Combine like terms: -4x + 4x = 0
-17 + 12x = -19 + 0
-17 + 12x = -19

Add '17' to each side of the equation.
-17 + 17 + 12x = -19 + 17

Combine like terms: -17 + 17 = 0
0 + 12x = -19 + 17
12x = -19 + 17

Combine like terms: -19 + 17 = -2
12x = -2

Divide each side by '12'.
x = -0.1666666667

Simplifying
x = -0.1666666667

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